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Finding the Fourth Proportional to 744.41, 1,117.34 and 359.93

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Solution

The fourth proportional to 744.41, 1,117.34 and 359.93 is: 540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.41 : 1,117.34 = 359.93 : x
  2. Step 2: Convert to fraction form
    744.41/1,117.34 = 359.93/x
  3. Step 3: Cross multiply
    744.41x = 1,117.34 × 359.93
  4. Step 4: Simplify right side
    744.41x = 402,164.19
  5. Step 5: Solve for x
    x = 402,164.19/744.41
  6. Step 6: Final answer
    x = 540.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.